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Finding the Third Proportional to 74,474.50 and 159,609

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Solution

The third proportional to 74,474.50 and 159,609 is: 342,063.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,474.50 : 159,609 = 159,609 : x
  2. Step 2: Convert to fraction form
    74,474.50/159,609 = 159,609/x
  3. Step 3: Cross multiply
    74,474.50x = 159,609 × 159,609
  4. Step 4: Simplify right side
    74,474.50x = 25,475,032,881
  5. Step 5: Solve for x
    x = 25,475,032,881/74,474.50
  6. Step 6: Final answer
    x = 342,063.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.